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POST UTME RSU 2017 Physics | Objective

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Question 1 View Details

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the angular velocity of the particle?

Correct A. \( 2.5 , \text{rad/s} \)

B. \( 3.0 , \text{rad/s} \)

C. \( 4.0 , \text{rad/s} \)

D. \( 5.0 , \text{rad/s} \)

Correct Answer: A

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Question 2 View Details

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. What is the current flowing through the circuit?

A. \( 0.25 , \text{A} \)

Correct B. \( 0.5 , \text{A} \)

C. \( 1.0 , \text{A} \)

D. \( 2.0 , \text{A} \)

Correct Answer: B

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Question 3 View Details

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. \( 2.0 , \text{m/s} \)

B. \( 4.0 , \text{m/s} \)

Correct C. \( 6.0 , \text{m/s} \)

D. \( 8.0 , \text{m/s} \)

Correct Answer: C

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Question 4 View Details

A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?

A. \( 0.5 , \text{A} \)

Correct B. \( 1.0 , \text{A} \)

C. \( 2.0 , \text{A} \)

D. \( 4.0 , \text{A} \)

Correct Answer: B

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Question 5 View Details

A particle of mass 1 kg is moving in a circular path of radius 1 m with a cons\tant speed of 2 m/s. If the particle is subjected to a centripetal force of 4 N, what is the angular velocity of the particle?

A. \( 1.0 , \text{rad/s} \)

Correct B. \( 2.0 , \text{rad/s} \)

C. \( 3.0 , \text{rad/s} \)

D. \( 4.0 , \text{rad/s} \)

Correct Answer: B

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Question 6 View Details

A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum voltage is 100 V, what is the root mean square (RMS) value of the current in the circuit?

Correct A. 0.707 A

B. 1.414 A

C. 2.828 A

D. 5.657 A

Correct Answer: A

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Question 7 View Details

A gas at 300 K and 1 atm is compressed to 2 atm. Assuming ideal gas behavior, what is the new volume of the gas?

A. 0.5 L

B. 1 L

Correct C. 2 L

D. 4 L

Correct Answer: C

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Question 8 View Details

A 2 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 0.1 m/s

Correct B. 1 m/s

C. 10 m/s

D. 100 m/s

Correct Answer: B

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Question 9 View Details

A sound wave with a frequency of 200 Hz and a speed of 343 m/s is traveling through a medium. If the wavelength of the wave is 1.7 m, what is the amplitude of the wave?

A. 0.01 m

B. 0.1 m

Correct C. 1 m

D. 10 m

Correct Answer: C

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Question 10 View Details

A 5 kg block is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant of 50 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the acceleration of the block?

A. 0.1 m/s^2

B. 1 m/s^2

Correct C. 10 m/s^2

D. 100 m/s^2

Correct Answer: C

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Question 11 View Details

A point charge of +2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at a dis\tance of 0.5 m from the origin. What is the magnitude of the electric field at a point 0.2 m from the origin, on the line joining the two charges?

A. 10 N/C

Correct B. 20 N/C

C. 30 N/C

D. 40 N/C

Correct Answer: B

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Question 12 View Details

A block of mass 5 kg is moving with a velocity of 2 m/s on a frictionless surface. A force of 10 N is applied to the block in the direction of motion. What is the acceleration of the block?

A. 0.2 m/s^2

B. 0.5 m/s^2

Correct C. 1 m/s^2

D. 2 m/s^2

Correct Answer: C

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Question 13 View Details

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 μF. What is the charge stored on the capacitor when a potential difference of 5 V is applied across it?

A. 0.05 C

Correct B. 0.1 C

C. 0.15 C

D. 0.2 C

Correct Answer: B

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Question 14 View Details

A wave of frequency 100 Hz and wavelength 0.1 m is traveling through a medium. What is the speed of the wave?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 15 View Details

A body of mass 10 kg is moving in a circular path with a radius of 2 m. The force acting on the body is 20 N. What is the centripetal acceleration of the body?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 5 m/s^2

Correct Answer: C

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Question 16 View Details

A particle of mass 2 kg is projected from the origin with an initial velocity of 10 m/s at an angle of 60° to the horizontal. If the particle is subject to a uniform gravitational field of 9.8 m/s², calculate the time taken for the particle to reach its maximum height.

A. 2 s

Correct B. 3 s

C. 4 s

D. 5 s

Correct Answer: B

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Question 17 View Details

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm. If the pressure is increased to 3.0 atm, what is the new volume of the gas?

A. 1.5 L

Correct B. 2.0 L

C. 2.5 L

D. 3.0 L

Correct Answer: B

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Question 18 View Details

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm from the lens. If the object is moved to a dis\tance of 40 cm from the lens, what is the new position of the image?

A. 10 cm from the lens

Correct B. 20 cm from the lens

C. 30 cm from the lens

D. 40 cm from the lens

Correct Answer: B

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Question 19 View Details

A wave of frequency 100 Hz and wavelength 0.5 m is traveling through a medium. If the speed of the wave is 50 m/s, what is the amplitude of the wave?

Correct A. 0.01 m

B. 0.1 m

C. 1.0 m

D. 10 m

Correct Answer: A

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Question 20 View Details

A body of mass 5 kg is moving with a velocity of 10 m/s. If the body is subject to a force of 20 N, what is the acceleration of the body?

A. 2 m/s²

B. 4 m/s²

C. 6 m/s²

Correct D. 8 m/s²

Correct Answer: D

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Question 21 View Details

A block of mass 2 kg is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through its equilibrium position.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 22 View Details

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the particle, directed towards the center of the circle?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 23 View Details

A ray of light passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

A. 18°

B. 20°

Correct C. 22°

D. 25°

Correct Answer: C

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Question 24 View Details

A 5 μF capacitor is connected in series with a 10 kΩ resistor. What is the time cons\tant of the circuit?

A. 50 ms

Correct B. 100 ms

C. 200 ms

D. 500 ms

Correct Answer: B

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Question 25 View Details

A beam of light is incident on a plane mirror at an angle of 60°. What is the angle of reflection?

A. 30°

B. 40°

C. 50°

Correct D. 60°

Correct Answer: D

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